| Label |
Degree |
Type |
Faithful |
Conductor |
Field of Traces |
$\Q$-character |
Group |
Image |
Image Order |
Kernel |
Kernel Order |
Center |
Center Order |
Center Index |
Schur Index |
| 4800.bk.1a |
$1$ |
R |
|
$1$ |
\(\Q\) |
4800.bk.1a |
$C_5\times \GL(2,3):D_{10}$ |
$C_1$ |
$1$ |
1.a1.a1 |
$4800$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1b |
$1$ |
R |
|
$1$ |
\(\Q\) |
4800.bk.1b |
$C_5\times \GL(2,3):D_{10}$ |
$C_2$ |
$2$ |
2.g1.a1 |
$2400$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1c |
$1$ |
R |
|
$1$ |
\(\Q\) |
4800.bk.1c |
$C_5\times \GL(2,3):D_{10}$ |
$C_2$ |
$2$ |
2.f1.a1 |
$2400$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1d |
$1$ |
R |
|
$1$ |
\(\Q\) |
4800.bk.1d |
$C_5\times \GL(2,3):D_{10}$ |
$C_2$ |
$2$ |
2.e1.a1 |
$2400$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1e |
$1$ |
R |
|
$1$ |
\(\Q\) |
4800.bk.1e |
$C_5\times \GL(2,3):D_{10}$ |
$C_2$ |
$2$ |
2.d1.a1 |
$2400$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1f |
$1$ |
R |
|
$1$ |
\(\Q\) |
4800.bk.1f |
$C_5\times \GL(2,3):D_{10}$ |
$C_2$ |
$2$ |
2.c1.a1 |
$2400$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1g |
$1$ |
R |
|
$1$ |
\(\Q\) |
4800.bk.1g |
$C_5\times \GL(2,3):D_{10}$ |
$C_2$ |
$2$ |
2.b1.a1 |
$2400$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1h |
$1$ |
R |
|
$1$ |
\(\Q\) |
4800.bk.1h |
$C_5\times \GL(2,3):D_{10}$ |
$C_2$ |
$2$ |
2.a1.a1 |
$2400$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1i1 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1i |
$C_5\times \GL(2,3):D_{10}$ |
$C_5$ |
$5$ |
5.a1.a1 |
$960$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1i2 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1i |
$C_5\times \GL(2,3):D_{10}$ |
$C_5$ |
$5$ |
5.a1.a1 |
$960$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1i3 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1i |
$C_5\times \GL(2,3):D_{10}$ |
$C_5$ |
$5$ |
5.a1.a1 |
$960$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1i4 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1i |
$C_5\times \GL(2,3):D_{10}$ |
$C_5$ |
$5$ |
5.a1.a1 |
$960$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1j1 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1j |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.h1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1j2 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1j |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.h1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1j3 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1j |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.h1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1j4 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1j |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.h1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1k1 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1k |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.g1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1k2 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1k |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.g1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1k3 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1k |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.g1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1k4 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1k |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.g1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1l1 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1l |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.f1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1l2 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1l |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.f1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1l3 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1l |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.f1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1l4 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1l |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.f1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1m1 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1m |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.e1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1m2 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1m |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.e1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1m3 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1m |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.e1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1m4 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1m |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.e1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1n1 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1n |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.d1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1n2 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1n |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.d1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1n3 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1n |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.d1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1n4 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1n |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.d1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1o1 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1o |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.c1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1o2 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1o |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.c1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1o3 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1o |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.c1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1o4 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1o |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.c1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1p1 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1p |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.a1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1p2 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1p |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.a1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1p3 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1p |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.a1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.1p4 |
$1$ |
C |
|
$5$ |
\(\Q(\zeta_{5})\) |
4800.bk.1p |
$C_5\times \GL(2,3):D_{10}$ |
$C_{10}$ |
$10$ |
10.a1.a1 |
$480$ |
1.a1.a1 |
$4800$ |
$1$ |
$1$ |
| 4800.bk.2a |
$2$ |
R |
|
$1$ |
\(\Q\) |
4800.bk.2a |
$C_5\times \GL(2,3):D_{10}$ |
$S_3$ |
$6$ |
6.a1.a1 |
$800$ |
6.a1.a1 |
$800$ |
$6$ |
$1$ |
| 4800.bk.2b |
$2$ |
R |
|
$1$ |
\(\Q\) |
4800.bk.2b |
$C_5\times \GL(2,3):D_{10}$ |
$D_6$ |
$12$ |
12.c1.a1 |
$400$ |
6.a1.a1 |
$800$ |
$6$ |
$1$ |
| 4800.bk.2c |
$2$ |
R |
|
$1$ |
\(\Q\) |
4800.bk.2c |
$C_5\times \GL(2,3):D_{10}$ |
$D_6$ |
$12$ |
12.b1.a1 |
$400$ |
6.a1.a1 |
$800$ |
$6$ |
$1$ |
| 4800.bk.2d |
$2$ |
R |
|
$1$ |
\(\Q\) |
4800.bk.2d |
$C_5\times \GL(2,3):D_{10}$ |
$D_6$ |
$12$ |
12.a1.a1 |
$400$ |
6.a1.a1 |
$800$ |
$6$ |
$1$ |
| 4800.bk.2e1 |
$2$ |
R |
|
$5$ |
\(\Q(\sqrt{5}) \) |
4800.bk.2e |
$C_5\times \GL(2,3):D_{10}$ |
$D_5$ |
$10$ |
10.b1.a1 |
$480$ |
10.b1.a1 |
$480$ |
$10$ |
$1$ |
| 4800.bk.2e2 |
$2$ |
R |
|
$5$ |
\(\Q(\sqrt{5}) \) |
4800.bk.2e |
$C_5\times \GL(2,3):D_{10}$ |
$D_5$ |
$10$ |
10.b1.a1 |
$480$ |
10.b1.a1 |
$480$ |
$10$ |
$1$ |
| 4800.bk.2f1 |
$2$ |
R |
|
$5$ |
\(\Q(\sqrt{5}) \) |
4800.bk.2f |
$C_5\times \GL(2,3):D_{10}$ |
$D_{10}$ |
$20$ |
20.f1.a1 |
$240$ |
10.b1.a1 |
$480$ |
$10$ |
$1$ |
| 4800.bk.2f2 |
$2$ |
R |
|
$5$ |
\(\Q(\sqrt{5}) \) |
4800.bk.2f |
$C_5\times \GL(2,3):D_{10}$ |
$D_{10}$ |
$20$ |
20.f1.a1 |
$240$ |
10.b1.a1 |
$480$ |
$10$ |
$1$ |
| 4800.bk.2g1 |
$2$ |
R |
|
$5$ |
\(\Q(\sqrt{5}) \) |
4800.bk.2g |
$C_5\times \GL(2,3):D_{10}$ |
$D_{10}$ |
$20$ |
20.d1.a1 |
$240$ |
10.b1.a1 |
$480$ |
$10$ |
$1$ |
| 4800.bk.2g2 |
$2$ |
R |
|
$5$ |
\(\Q(\sqrt{5}) \) |
4800.bk.2g |
$C_5\times \GL(2,3):D_{10}$ |
$D_{10}$ |
$20$ |
20.d1.a1 |
$240$ |
10.b1.a1 |
$480$ |
$10$ |
$1$ |
